On Dedekind's criterion and monogenicity over Dedekind rings.

Charkani, M.E.; Lahlou, O.

Displaying similar documents to “On Dedekind's criterion and monogenicity over Dedekind rings.”

On the main invariant of an element over a local field.

Popescu, N., Zaharescu, A. (1997)

Portugaliae Mathematica

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Quasitrivial semimodules. VII.

Tomáš Kepka, Petr Němec (2013)

Acta Universitatis Carolinae. Mathematica et Physica

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The paper continues the investigation of quasitrivial semimodules and related problems. In particular, strong endomorphisms of semilattices are studied.

Differentially trivial left Noetherian rings

O. D. Artemovych (1999)

Commentationes Mathematicae Universitatis Carolinae

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We characterize left Noetherian rings which have only trivial derivations.

On the composition factors of a group with the same prime graph as $B_{n} (5)$

Azam Babai, Behrooz Khosravi (2012)

Czechoslovak Mathematical Journal

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Let $G$ be a finite group. The prime graph of $G$ is a graph whose vertex set is the set of prime divisors of $| G |$ and two distinct primes $p$ and $q$ are joined by an edge, whenever $G$ contains an element of order $p q$ . The prime graph of $G$ is denoted by $Γ (G)$ . It is proved that some finite groups are uniquely determined by their prime graph. In this paper, we show that if $G$ is a finite group such that $Γ (G) = Γ (B_{n} (5))$ , where $n \geq 6$ , then $G$ has a unique nonabelian composition factor isomorphic to $B_{n} (5)$ or $C_{n} (5)$ .

Arithmetical characterizations of divisor class groups. II.

Geroldinger, A. (1992)

Acta Mathematica Universitatis Comenianae. New Series

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Displaying similar documents to “On Dedekind's criterion and monogenicity over Dedekind rings.”

On the main invariant of an element over a local field.

Quasitrivial semimodules. VII.

Differentially trivial left Noetherian rings

On the composition factors of a group with the same prime graph as B n ( 5 )

Arithmetical characterizations of divisor class groups. II.

On the composition factors of a group with the same prime graph as $B_{n} (5)$